How do you simplify $\sqrt{3 x} \cdot \sqrt{3}$ $sqrt(3x) * sqrt3$ ?

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Answer 1 · 2016-03-09T21:03:17

$3 \cdot \sqrt{x}$ $3*sqrtx$

Note that radicals can be split up as follows:

$\sqrt{a b} = \sqrt{a} \cdot \sqrt{b}$ $sqrt(ab)=sqrta*sqrtb$

So,

$\sqrt{3 x} = \sqrt{3} \cdot \sqrt{x}$ $sqrt(3x)=sqrt3*sqrtx$

This gives us a simplified expression of

$= \sqrt{3} \cdot \sqrt{x} \cdot \sqrt{3}$ $=sqrt3*sqrtx * sqrt3$

Now, simplify the two $\sqrt{3}$ $sqrt3$ terms using the rule:

$\sqrt{a} \cdot \sqrt{a} = a$ $sqrta*sqrta=a$

So, $\sqrt{3} \cdot \sqrt{3} = 3$ $sqrt3*sqrt3=3$ and the expression equals

$= 3 \cdot \sqrt{x}$ $=3*sqrtx$

How do you simplify √3x⋅√3 sqrt(3x) * sqrt3?